Answer:
The intersection point is (2,2)
Step-by-step explanation:
First let's find the equation of f(x), using the linear model:
![f(x) = ax + b](https://tex.z-dn.net/?f=f%28x%29%20%3D%20ax%20%2B%20b)
Using the point (0, 6), we have:
![6 = a*0 + b\\b = 6](https://tex.z-dn.net/?f=6%20%3D%20a%2A0%20%2B%20b%5C%5Cb%20%3D%206)
Using the point (3, 0), we have:
![0 = a*3 + 6\\3a = -6\\a = -2](https://tex.z-dn.net/?f=0%20%3D%20a%2A3%20%2B%206%5C%5C3a%20%3D%20-6%5C%5Ca%20%3D%20-2)
So we have that ![f(x) = -2x + 6](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-2x%20%2B%206)
To find f'(x) (the inverse of f(x)), we can substitute f(x) by x and x by f'(x) in the equation of f(x) and then isolate f'(x):
![x = -2f'(x) + 6\\2f'(x) = -x + 6\\f'(x) = -x/2 + 3](https://tex.z-dn.net/?f=x%20%3D%20-2f%27%28x%29%20%2B%206%5C%5C2f%27%28x%29%20%3D%20-x%20%2B%206%5C%5Cf%27%28x%29%20%3D%20-x%2F2%20%2B%203)
Now, to find the intersection point, we need to calculate f(x) = f'(x):
![-2x + 6 = -x/2 + 3\\3x/2 = 3\\3x = 6\\x = 2](https://tex.z-dn.net/?f=-2x%20%2B%206%20%3D%20-x%2F2%20%2B%203%5C%5C3x%2F2%20%3D%203%5C%5C3x%20%3D%206%5C%5Cx%20%3D%202)
And the y-value is:
![y = -2x + 6 = -2*2 + 6 = 2](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%206%20%3D%20-2%2A2%20%2B%206%20%3D%202)
So the point is (2,2)
Answer:
there isn't any choices but 6/12+1/12=7/12
or 4/12+3/12=7/12
hope this helps
have a good day :)
Step-by-step explanation:
267272718;27277282,727272?2727
Answer:
1
Step-by-step explanation:
y2-y1/(x2-x1)
-5--13/1--7
8/8
Slope is 1
Yes, -0.5 is an integer because it is a negative number. Any number that is positive or negative is an integer.